95 Infiniti G20 - headlight warning sound stays on

This is my daughter's car but I'll try and explain what she told me. When she gets out of the car, the alarm sounds that indicates when you leave the headlights on, even though they're not on. She gets back in, starts the car, shuts it off, then the sound stops. There are times when the sound doesn't stop and it kills her battery. Is there something else that could be making this warning alarm go off? Maybe a headlight timer? We're stumped.
(Her last car had a short in the turn signal/headlight switch and did the same thing. Arggh!)